U+2AE4 "⫤" Vertical Bar Double Left Turnstile Unicode Character

U+2AE4 "⫤" Vertical Bar Double Left Turnstile is a mathematical symbol used primarily in formal logic and relational algebra to represent a binary relation that combines a vertical bar with a double left turnstile, often denoting a specific type of semantic entailment or a double-sided assertion where a premise yields a conclusion with an additional structural condition. It belongs to the Supplemental Mathematical Operators block and is encoded for precise notation in type theory, proof theory, and computer science, particularly when modeling relations that involve bidirectional entailment or restricted logical consequence. This character is distinct from the simpler turnstile symbols as it incorporates the vertical bar on the left of a double turnstile, indicating a more complex logical or set-theoretic relationship.